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math.MG2017★ 1 cited
The -capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems
Han Hong, Deping Ye, Ning Zhang
In this paper, combining the -capacity for with the Orlicz addition of convex domains, we develop the -capacitary Orlicz-Brunn-Minkowski theory. In particular,…
math.MG2016
The Orlicz-Petty bodies
Baocheng Zhu, Han Hong, Deping Ye
This paper is dedicated to the Orlicz-Petty bodies. We first propose the homogeneous Orlicz affine and geominimal surface areas, and establish their basic properties such as homoge…